Novel Algorithms To Approximate the Solution of Nonlinear Integro-Differential Equations of Volterra-Fredholm Integro Type
| dc.contributor.author | Srivastava, Hari Mohan | |
| dc.contributor.author | Hama, Mudhafar | |
| dc.contributor.author | Mohammed, Pshtiwan Othman | |
| dc.contributor.author | Almusawa, Musawa Yahya | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | HamaRashid, Hawsar | |
| dc.date.accessioned | 2024-01-12T12:32:31Z | |
| dc.date.accessioned | 2025-09-18T12:08:21Z | |
| dc.date.available | 2024-01-12T12:32:31Z | |
| dc.date.available | 2025-09-18T12:08:21Z | |
| dc.date.issued | 2023 | |
| dc.description | Hamarashid, Hawser/0000-0002-1493-6518; Mohammed, Pshtiwan/0000-0001-6837-8075; Almusawa, Musawa/0000-0001-8485-7113 | en_US |
| dc.description.abstract | This study is devoted to examine the existence and uniqueness behavior of a nonlinear integro-differential equation of Volterra-Fredholm integral type in continues space. Then, we examine its solution by modification of Adomian and homotopy analysis methods numerically. Initially, the proposed model is reformulated into an abstract space, and the existence and uniqueness of solution is constructed by employing Arzela-Ascoli and Krasnoselskii fixed point theorems. Furthermore, suitable generation. At last, three test examples are presented to verify the established theoretical concepts. | en_US |
| dc.identifier.citation | Hamarashid, Hawsar;...et.al. (2023). "Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type", AIMS Mathematics, Vol.8, no.6, pp.14572-14591. | en_US |
| dc.identifier.doi | 10.3934/math.2023745 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85159488345 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2023745 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11108 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Nonlinear Integro Equation | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.subject | Arzela-Ascoli Theorem | en_US |
| dc.subject | Krasnosel'Skii Theorem | en_US |
| dc.title | Novel Algorithms To Approximate the Solution of Nonlinear Integro-Differential Equations of Volterra-Fredholm Integro Type | en_US |
| dc.title | Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Hamarashid, Hawser/0000-0002-1493-6518 | |
| gdc.author.id | Mohammed, Pshtiwan/0000-0001-6837-8075 | |
| gdc.author.id | Almusawa, Musawa/0000-0001-8485-7113 | |
| gdc.author.scopusid | 58250570700 | |
| gdc.author.scopusid | 23152241800 | |
| gdc.author.scopusid | 57210442975 | |
| gdc.author.scopusid | 57192416276 | |
| gdc.author.scopusid | 57543645200 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Srivastava, Hari/N-9532-2013 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Mohammed, Pshtiwan/Aaj-4673-2020 | |
| gdc.author.wosid | Almusawa, Musawa/Aca-6719-2022 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [HamaRashid, Hawsar; Mohammed, Pshtiwan Othman] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani 46001, Iraq; [Srivastava, Hari Mohan] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada; [Srivastava, Hari Mohan] Azerbaijan Univ, Dept Math & Informat, AZ-1007 Baku, Azerbaijan; [Srivastava, Hari Mohan] Kyung Hee Univ, Ctr Converging Humanities, 26 Kyungheedae Ro, Seoul 02447, South Korea; [Srivastava, Hari Mohan] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Hama, Mudhafar] Univ Sulaimani, Coll Sci, Dept Math, Sulaimani 46001, Iraq; [Almusawa, Musawa Yahya] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Baleanu, Dumitru] Lebanese Amer Univ, Sch Arts & Sci, Dept Nat Sci, Beirut 11022801, Lebanon | en_US |
| gdc.description.endpage | 14591 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 14572 | en_US |
| gdc.description.volume | 8 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W4366493163 | |
| gdc.identifier.wos | WOS:000993891300001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 12.0 | |
| gdc.oaire.influence | 3.081694E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Riccati equation | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Fixed-point theorem | |
| gdc.oaire.keywords | Biology | |
| gdc.oaire.keywords | nonlinear integro equation | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Integral equation | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Ecology | |
| gdc.oaire.keywords | Integro-differential equation | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Fredholm integral equation | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Homotopy analysis method | |
| gdc.oaire.keywords | boundary value problem | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | FOS: Biological sciences | |
| gdc.oaire.keywords | krasnosel'skii theorem | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Nonlinear system | |
| gdc.oaire.keywords | arzela-ascoli theorem | |
| gdc.oaire.keywords | Uniqueness | |
| gdc.oaire.keywords | Homotopy | |
| gdc.oaire.keywords | Type (biology) | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Nonlinear Systems | |
| gdc.oaire.popularity | 1.1305769E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 3.68680071 | |
| gdc.openalex.normalizedpercentile | 0.92 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 8 | |
| gdc.plumx.mendeley | 1 | |
| gdc.plumx.scopuscites | 14 | |
| gdc.scopus.citedcount | 14 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 14 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |